Herbie run
| Date: | Wednesday, June 5th, 2024 |
|---|---|
| Commit: | 8a54fd57 on main |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024157 |
| Parameters: | 256 points for 4 iterations |
| Flags: | localize:costslocalize:errorsreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs default |
Time bar (total: 7.8min)
| 44.2s | 221120× | 0 | valid |
| 14.4s | 29129× | 1 | valid |
| 13.6s | 65731× | 0 | invalid |
| 5.8s | 14029× | 1 | invalid |
| 4.2s | 6555× | 3 | valid |
| 3.8s | 6454× | 2 | valid |
| 1.2s | 924× | 4 | valid |
| 675.0ms | 918× | 2 | invalid |
| 8.0ms | 10× | 5 | valid |
| 2.0ms | 3× | 5 | exit |
ival-mult: 17.3s (28.1% of total)ival-div: 9.2s (14.9% of total)ival-pow: 7.0s (11.3% of total)ival-sub: 4.2s (6.7% of total)ival-tan: 4.2s (6.7% of total)ival-sqrt: 3.7s (6% of total)ival-add: 3.5s (5.7% of total)ival-sin: 2.4s (3.8% of total)adjust: 2.2s (3.5% of total)ival-exp: 1.6s (2.6% of total)ival-cos: 988.0ms (1.6% of total)ival-acos: 760.0ms (1.2% of total)ival-neg: 707.0ms (1.1% of total)const: 523.0ms (0.8% of total)ival-pi: 523.0ms (0.8% of total)...c/correct-round.rkt:168:19: 499.0ms (0.8% of total)ival-true: 499.0ms (0.8% of total)ival-log: 492.0ms (0.8% of total)ival-asin: 411.0ms (0.7% of total)ival-hypot: 388.0ms (0.6% of total)ival-assert: 374.0ms (0.6% of total)ival-<: 120.0ms (0.2% of total)ival-fabs: 107.0ms (0.2% of total)ival-atan: 95.0ms (0.2% of total)ival-and: 11.0ms (0% of total)| 286× | egg-herbie |
| 118415× | fma-define |
| 66248× | fmm-def |
| 64612× | times-frac |
| 63218× | distribute-lft-in |
| 61621× | *-commutative |
| 67× | saturated |
| 219× | node limit |
| 51619× | fma-define |
| 38687× | log1p-expm1-u |
| 38288× | times-frac |
| 33208× | *-commutative |
| 31566× | associate-*r* |
| 8× | saturated |
| 163× | node limit |
| 30× | fuel |
| 1× | unsound |
| 2× | done |
Compiled 41057 to 12856 computations (68.7% saved)
| 17.2s | 21829× | 0 | valid |
| 8.5s | 1001× | 5 | exit |
| 7.4s | 4016× | 1 | valid |
| 4.1s | 4188× | 0 | invalid |
| 1.9s | 390× | 3 | valid |
| 1.7s | 540× | 2 | valid |
| 932.0ms | 232× | 3 | invalid |
| 407.0ms | 133× | 2 | invalid |
| 356.0ms | 55× | 4 | valid |
| 152.0ms | 128× | 1 | invalid |
Compiled 36238 to 4522 computations (87.5% saved)
ival-tan: 4.7s (23.4% of total)ival-mult: 3.2s (15.8% of total)ival-div: 2.6s (12.9% of total)ival-pow: 2.1s (10.3% of total)adjust: 1.8s (9.1% of total)ival-add: 757.0ms (3.7% of total)ival-sqrt: 610.0ms (3% of total)ival-sub: 589.0ms (2.9% of total)ival-asin: 588.0ms (2.9% of total)ival-cos: 478.0ms (2.4% of total)...c/correct-round.rkt:168:19: 403.0ms (2% of total)ival-sin: 328.0ms (1.6% of total)ival-fma: 301.0ms (1.5% of total)ival-log: 231.0ms (1.1% of total)ival-hypot: 213.0ms (1.1% of total)ival-exp: 191.0ms (0.9% of total)ival-cbrt: 190.0ms (0.9% of total)ival-neg: 170.0ms (0.8% of total)ival-acos: 132.0ms (0.7% of total)ival-log1p: 125.0ms (0.6% of total)ival-expm1: 112.0ms (0.6% of total)const: 106.0ms (0.5% of total)ival-pi: 67.0ms (0.3% of total)ival-true: 59.0ms (0.3% of total)ival-assert: 40.0ms (0.2% of total)ival-atan: 39.0ms (0.2% of total)ival-tanh: 18.0ms (0.1% of total)ival-fabs: 15.0ms (0.1% of total)| 127× | batch-egg-rewrite |
| 69601× | log1p-expm1-u |
| 50438× | expm1-log1p-u |
| 34013× | add-exp-log |
| 33634× | add-log-exp |
| 33474× | pow1 |
| 126× | node limit |
| 1× | unsound |
Compiled 146302 to 83130 computations (43.2% saved)
Compiled 3422451 to 471050 computations (86.2% saved)
156 calls:
| 1.7s | l |
| 1.0s | k |
| 892.0ms | t |
| 418.0ms | (sin.f64 ky) |
| 324.0ms | KbT |
Compiled 8480 to 6361 computations (25% saved)
12147 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 322.0ms | l | @ | inf | (log (pow (exp (/ (/ 2 (pow k 4)) t)) (pow l 2))) |
| 318.0ms | l | @ | inf | (/ (pow (cbrt (tan (* (PI) l))) 3) (* F F)) |
| 317.0ms | v | @ | inf | (cbrt (cbrt (acos (+ (* (pow v 2) 5) -1)))) |
| 306.0ms | v | @ | inf | (/ 1 (- (pow v 2) (* 98/5 H))) |
| 170.0ms | f | @ | -inf | (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) |
| 32× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 98.2% | 1.8% | 0% | 0% | 0% | 0 |
| 22.2% | 21.8% | 76.4% | 1.8% | 0% | 0% | 0% | 1 |
| 22.6% | 21.8% | 74.8% | 1.8% | 0% | 1.6% | 0% | 2 |
| 28.6% | 26.5% | 66.3% | 1.8% | 0% | 5.5% | 0% | 3 |
| 32.6% | 29.6% | 61.2% | 1.8% | 0% | 7% | 0.4% | 4 |
| 35.8% | 32.3% | 58% | 1.8% | 0% | 7.4% | 0.6% | 5 |
| 40.1% | 36.1% | 54% | 1.8% | 0% | 7.4% | 0.7% | 6 |
| 45.5% | 40.6% | 48.7% | 1.8% | 0% | 8.1% | 0.8% | 7 |
| 47.9% | 42.1% | 45.8% | 1.8% | 0% | 9.5% | 0.8% | 8 |
| 51% | 44.7% | 42.9% | 1.8% | 0% | 9.8% | 0.9% | 9 |
| 52.1% | 45.5% | 41.8% | 1.8% | 0% | 10% | 0.9% | 10 |
| 53.9% | 46.8% | 39.9% | 1.8% | 0% | 10.6% | 1% | 11 |
| 55.7% | 47.9% | 38.2% | 1.8% | 0% | 11.1% | 1% | 12 |
Compiled 793 to 578 computations (27.1% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 480 | 0 |
cos.f64 | #f | sensitivity | 442 | 0 |
sqrt.f64 | #f | oflow-rescue | 439 | 0 |
*.f64 | #f | n*o | 262 | 0 |
acos.f64 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) | sensitivity | 254 | 0 |
+.f64 | #f | nan-rescue | 252 | 0 |
sqrt.f64 | #f | uflow-rescue | 175 | 0 |
asin.f64 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) | sensitivity | 134 | 0 |
*.f64 | #f | u*o | 130 | 0 |
pow.f64 | #f | oflow-rescue | 128 | 0 |
tan.f64 | (tan.f64 (*.f64 (PI.f64) l)) | sensitivity | 128 | 0 |
-.f64 | #f | nan-rescue | 125 | 0 |
/.f64 | #f | o/o | 90 | 0 |
pow.f64 | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) | sensitivity | 85 | 32 |
pow.f64 | #f | uflow-rescue | 75 | 0 |
/.f64 | #f | u/u | 61 | 0 |
*.f64 | #f | n*u | 60 | 0 |
*.f64 | #f | o*u | 58 | 0 |
cos.f64 | (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) | oflow-rescue | 55 | 0 |
| ↳ | (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) | overflow | 55 | |
| ↳ | (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) | overflow | 55 | |
| ↳ | (*.f64 K (+.f64 m n)) | overflow | 55 | |
+.f64 | #f | cancellation | 55 | 0 |
/.f64 | #f | o/n | 53 | 0 |
/.f64 | #f | n/o | 43 | 0 |
/.f64 | #f | n/u | 31 | 0 |
/.f64 | #f | u/n | 14 | 0 |
log.f64 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) | sensitivity | 7 | 0 |
exp.f64 | (exp.f64 (neg.f64 l)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2014 | 37 |
| - | 1130 | 5011 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2014 | 2 | 35 |
| - | 1130 | 30 | 4981 |
| number | freq |
|---|---|
| 0 | 5048 |
| 1 | 2720 |
| 2 | 365 |
| 3 | 51 |
| 4 | 6 |
| 5 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 25 | 0 | 0 |
| - | 0 | 0 | 7 |
| 3.8s | 12988× | 0 | valid |
| 1.8s | 2380× | 1 | valid |
| 700.0ms | 538× | 2 | valid |
| 556.0ms | 414× | 3 | valid |
| 83.0ms | 54× | 4 | valid |
| 12.0ms | 10× | 5 | exit |
Compiled 8430 to 2164 computations (74.3% saved)
ival-mult: 584.0ms (18% of total)ival-tan: 479.0ms (14.7% of total)adjust: 364.0ms (11.2% of total)ival-add: 295.0ms (9.1% of total)ival-div: 293.0ms (9% of total)ival-pow: 243.0ms (7.5% of total)ival-sub: 231.0ms (7.1% of total)ival-sin: 165.0ms (5.1% of total)ival-exp: 135.0ms (4.2% of total)ival-sqrt: 119.0ms (3.7% of total)ival-cos: 70.0ms (2.2% of total)ival-log: 59.0ms (1.8% of total)ival-neg: 30.0ms (0.9% of total)ival-acos: 30.0ms (0.9% of total)const: 29.0ms (0.9% of total)ival-true: 29.0ms (0.9% of total)ival-pi: 22.0ms (0.7% of total)ival-hypot: 21.0ms (0.6% of total)ival-assert: 20.0ms (0.6% of total)...c/correct-round.rkt:168:19: 10.0ms (0.3% of total)ival-asin: 10.0ms (0.3% of total)ival-atan: 6.0ms (0.2% of total)ival-fabs: 5.0ms (0.2% of total)| 298× | binary-search |
| 89× | left-value |
| 15× | predicate-same |
| 283× | narrow-enough |
| 7.6s | 34128× | 0 | valid |
| 1.9s | 7659× | 0 | invalid |
| 231.0ms | 853× | 1 | valid |
| 140.0ms | 364× | 2 | valid |
| 23.0ms | 49× | 3 | valid |
| 21.0ms | 29× | 4 | valid |
| 20.0ms | 83× | 1 | invalid |
| 11.0ms | 31× | 2 | invalid |
| 1.0ms | 1× | 5 | valid |
Compiled 82822 to 62065 computations (25.1% saved)
ival-div: 1.4s (20.8% of total)ival-mult: 1.4s (20.3% of total)ival-pow: 1.4s (20.2% of total)ival-add: 640.0ms (9.4% of total)ival-sub: 469.0ms (6.9% of total)ival-tan: 380.0ms (5.6% of total)ival-sin: 367.0ms (5.4% of total)ival-neg: 269.0ms (3.9% of total)ival-sqrt: 103.0ms (1.5% of total)ival-exp: 98.0ms (1.4% of total)ival-true: 62.0ms (0.9% of total)const: 54.0ms (0.8% of total)adjust: 48.0ms (0.7% of total)ival-assert: 46.0ms (0.7% of total)ival-cos: 40.0ms (0.6% of total)...c/correct-round.rkt:168:19: 22.0ms (0.3% of total)ival-hypot: 20.0ms (0.3% of total)ival-atan: 11.0ms (0.2% of total)ival-asin: 6.0ms (0.1% of total)ival-fabs: 6.0ms (0.1% of total)ival-pi: 2.0ms (0% of total)| 32× | egg-herbie |
| 20054× | fma-define |
| 13409× | fmm-def |
| 8518× | times-frac |
| 7224× | distribute-lft-in |
| 7153× | unsub-neg |
| 9× | saturated |
| 23× | node limit |
Compiled 43890 to 18634 computations (57.5% saved)
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